The inter-cooler pressure, for minimum work required, for a two stage reciprocating air compressor, is given by (where p₁ = Intake pressure of air, p₂ = Inter-cooler pressure and p₃ = Delivery pressure of air)

A. $${{\text{p}}_2} = {{\text{p}}_1} \times {{\text{p}}_3}$$

B. $${{\text{p}}_2} = \frac{{{{\text{p}}_1}}}{{{{\text{p}}_3}}}$$

C. $${{\text{p}}_2} = \sqrt {{{\text{p}}_1} \times {{\text{p}}_2}} $$

D. $${{\text{p}}_2} = \frac{{{{\text{p}}_3}}}{{{{\text{p}}_1}}}$$

Answer: Option C

Solution(By Examveda Team)

The inter-cooler pressure, for minimum work required, for a two stage reciprocating air compressor, is given by $${{\text{p}}_2} = \sqrt {{{\text{p}}_1} \times {{\text{p}}_2}} .$$
Where p₁ = Intake pressure of air, p₂ = Inter-cooler pressure and p₃ = Delivery pressure of air.